question_answer

A parallel plate capacitor having a separation between the plates d, plate area A and material with dielectric constant K has capacitance \[{{C}_{0}}\]. Now one-third of the material is replaced by another material with dielectric constant 2K, so that effectively there are two capacitors one with area \[\frac{1}{3}\]A, dialectic constant 2K and another with area \[\frac{2}{3}A\] and dielectric constant K. If the capacitance of this new capacitor is C then \[\frac{C}{{{C}_{0}}}\]is

A) 1                     

B)        \[\frac{4}{3}\]

C) \[\frac{2}{3}\]             

D)        \[\frac{1}{3}\]